Unit 8, Lesson 4
Practice Problems
1. A carnival game has 160 rubber ducks floating in a pool. The person playing the game
takes out one duck and looks at it.
If there’s a red mark on the bottom of the duck, the person wins a small prize.
If there’s a blue mark on the bottom of the duck, the person wins a large prize.
Many ducks do not have a mark.
After 50 people have played the game, only 3 of them have won a small prize, and none
of them have won a large prize.
Estimate the number of the 160 ducks that you think have red marks on the bottom.
Then estimate the number of ducks you think have blue marks. Explain your reasoning.

Answer:

Notebooks= 8.75

computer bags=74.95

Amount with tax = Approximately 89.559

Step-by-step explanation:

Work and answer shown above

The Domain is -4 ≤ x ≤ 2

Range = 2 ≤ y ≤ 6

We have given a graph of a function. We have to find the domain and the range of the function

The domain refers to the set of all valid input values for a function. It represents the values for which the function is defined or meaningful. In other words, it is the set of x-values that can be plugged into the function to obtain a corresponding y-value.

The range, on the other hand, refers to the set of all possible output values or y-values that result from evaluating the function with the input values from the domain. It represents the set of all values that the function can attain.

As we can see from the graph

value of x is greater than and equal -4 and less than and equals 2

Domain = -4 ≤ x ≤ 2

Value of y is grater than and equal to 2 and less than and equal to 6

Range = 2 ≤ y ≤ 6

Learn more about Domain here

https://brainly.com/question/30133157

#SPJ2

Answer:

Step-by-step explanation:

3x^2 + 8x - 16 - SOMETHING = x^2 - 4

Re-arranging left and right:

SOMETHING = 3x^2 + 8x - 16 - x^2 + 4

= (3x^2 - x^2) + 8x - 16 + 4

= 2x^2 + 8x - 12

Answer:

Original expression:  [tex]3x^2+8x-16[/tex]

Let [tex]a[/tex] be the quantity Amir subtracted from the original expression.

Expression after subtraction: [tex]x^2-4[/tex]

[tex]\implies (3x^2+8x-16)-a=x^2-4[/tex]

Solve for [tex]a[/tex]:

[tex]\implies 3x^2+8x-16-a=x^2-4[/tex]

Add 4 to both sides:

[tex]\implies 3x^2+8x-12-a=x^2[/tex]

Subtract [tex]x^2[/tex] from both sides:

[tex]\implies 2x^2+8x-12-a=0[/tex]

Add [tex]a[/tex] to both sides:

[tex]\implies 2x^2+8x-12=a[/tex]

Therefore, Amir subtracted [tex]2x^2+8x-12[/tex] from the original expression.

Answer:

y = -6/5x + 4

Step-by-step explanation:

1.  are made of electrons, protons, and neutrons

2.  are the smallest unit of matter

Answer:

Atoms normally have no charge

Atoms are made of electrons, protons, and neutrons

Atoms are the smallest unit of matter

Step-by-step explanation:

I got this correct when I submitted it :)

Answer:

32 black grapes

Step-by-step explanation:

the 3 part of the ratio represents 24 green grapes , then

24 ÷ 3 = 8 ← value of 1 part of the ratio, then

black grapes = 4 × 8 = 32

Answer:

1/x^7*x^4 or 1/x*x*x*x*x*x*x*x*x*x*x

Step-by-step explanation:

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful  no matter ur shape, size, color, gender.. anything

don't give up i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

Answer:

I think + 2 plz make me brainliest

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

To find the maximum point, differentiate:

D' = -8p +160

Set to zero and solve for p:

D' = 0

⇒ -8p +160 = 0

⇒ 8p = 160

⇒ p = 20

Input p = 20 into the original equation to find D:

D = -4(20)² + 160(20) -310 = 1290

Therefore, the price is $20 and the maximum number of drills is 1,290

Answer:

C

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

3 × 5 is 15

4 × 5 is 20

So...should be 20.

Answer:

Three arithmetic means between -16 and 4 are : 20 , 10 and  [tex]\frac{20}{3}[/tex]

Step-by-step explanation:

we have to find out three arithmetic means between -16 and 4

-16 , ____  , ____ , ____ 4

so , lets take the mean like this ,

-16 ,  -16+d , -16+2d ,-16+3d , 4

First mean -: -16 +d = 4

                   d= 4+16

                   d = 20

second mean -: -16 +2d = 4

                            2d=  4+16 = 20

                             d= [tex]\frac{20}{2}[/tex]

                             d= 10

third mean -: -16+3d = 4

                         3d = 20

                          d=[tex]\frac{20}{3}[/tex]

Therefore , all the three arithmetic means between -16 ad 4 are 10 , 20 and  [tex]\frac{20}{3}[/tex] .

Answer: C

Step-by-step explanation: im sorry if its wrong creati deleted all my points and im at -92 points

Answer:

2 points

Step-by-step explanation

11x2=22 if Robert got 11 questions wrong and each question was worth 2 points that would equal 22 points deducted from his test

[tex] ({ \frac{7}{3} })^{x} = {A}^{2x} \\ [/tex]

[tex] ({ \frac{7}{3} })^{x} = {A}^{ {2}^{x} } \\ [/tex]

[tex] \frac{7}{3} = {A}^{2} \\ [/tex]

[tex]A = ± \sqrt{ \: \frac{7}{3} \: } \\ [/tex]

_________________________________

I think this is the correct answer.

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

(7/3)^1/2

Step-by-step explanation:

I got it right on khan academy.

Answer:

x=2.5

Step-by-step explanation:

5x<12          1. /5 on both sides

x= 2.5    

Answer:

x<2.4

Step-by-step explanation:

5x < 12

x < 12/5

x < 2.4

On the number line, draw an arrow going towards left from 2.4, with an open circle at 2.4

Answer:

5xy/27

Step-by-step explanation:

The product of the two numbers x and y = xy

Five times the product of the two numbers x and y = 5xy

then,

divided by a third number 27 = 5xy/27

The expression will be : 5xy/27

Answer:

its d

Step-by-step explanation:

Answer:

She likely need to consider additional investment options for her retirement goal.

Step-by-step explanation:

Nick my luts

Answer:

c

Step-by-step explanation:

Answer:

y= 16, 64, 256, 1024

y/x= 16/2, 64/3, 256/4, 1024/5,

Step-by-step explanation:

    This is just like any other equation, except instead of x being a number, it is an exponent. For example, when x equals 2, y equals 16 because y always equals four to the power of x.  This applies to all of the parts in your table. when x equals 3, y equals 4^3 (4 times 4 times 4) which is 64, and when x equals 4, y equals 4^4 (4 times 4 times 4 times 4), which is 256.

    For the y over x part that is just the value y, divided by the value x. For the first line on the table x equals 2, and we know y equals 16 (4^2 is 4 times 4, which is 16) so 16 divided by 2 is 8. That is the answer.

Hope this helps :)

Using limits, it is found that the correct statement is:

they give what y-values the function is AROUND the given x.

The limit of a function f(x) as a value of x = a is approached is given by:

[tex]y = \lim_{x \rightarrow a} f(x)[/tex]

The limit can be calculated at a point in which a function is not continuous, for example, in which we consider the lateral limits, which is not the exact value at x = a, but the value of the function as x approaches a by the left and by the right, hence the correct statement is:

they give what y-values the function is AROUND the given x.

More can be learned about limits at https://brainly.com/question/26270080

The equation represents the inequality will be y < −2x + 3.Option d is correct.

Linear inequalities involve at least one linear algebraic expression. A polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1.

Different types of linear inequalities can be represented in a variety of ways.

The linear equation with slope m and intercept y is given as;

y=mx+c

The inequalities are as follows;

(a).  y > 2x +3

(b).  y < 2x+ 3

(c).  y > −2x+ 3

(d). y < −2x+ 3

Because the line meets the y-axis,(0,3)the y-intercept is 3.

The points are (0,3)and(1,1)

The line's slope may be calculated as follows.

[tex]\rm m= \frac{1-3}{1-0} \\\\ \rm m= -2[/tex]

On putting the given origin value;

[tex]y < -2x+3 \\\\0 < -2(0)+3\\\\0 < 3[/tex]

From all the data obtained we get the equation given in option d is correct.

Hence the equation that represents the inequality will be y < −2x + 3.Option d is correct.

To learn more about linear inequality refer to the link;

https://brainly.com/question/11897796

The equation represents the inequality will be y < −2x + 3.Option d is correct.

What is linear inequality?

Linear inequalities involve at least one linear algebraic expression. A polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1.

Different types of linear inequalities can be represented in a variety of ways.

The linear equation with slope m and intercept y is given as;

y=mx+c

The inequalities are as follows;

(a).  y > 2x +3

(b).  y < 2x+ 3

(c).  y > −2x+ 3

(d). y < −2x+ 3

Because the line meets the y-axis,(0,3)the y-intercept is 3.

The points are (0,3)and(1,1)

The line's slope may be calculated as follows.

On putting the given origin value;

From all the data obtained we get the equation given in option d is correct.

Hence the equation that represents the inequality will be y < −2x + 3.Option d is correct.

To learn more about linear inequality refer to the link;

brainly.com/question/11897796

Answer:

B

Step-by-step explanation:

every other value is above 25.99

Answer:

Step-by-step explanation:

Distance formula:

d = rt

where d = distance, r = average speed and t = time travelled.

They told us that an object travels 30 meters in 20 seconds.

So we can say d = 30 and t = 20

If you put these values back into the distance formula you get:

d = rt

30 = r times 20

30 = 20 r

So now we want to find what "r" (average speed) is.

Divide both sides by 20.

20 r = 30

r =  [tex]\frac{30}{20}[/tex] = 1.5 meters per second.

Answer:

You have 12 quarters and 30 dimes.

Step-by-step explanation:

If you have an equation that says 10d+25q= 600 cents (d meaning dime and q meaning quarter) and have another equation that says d+w=42, then you could use those two equations to solve the problem.

Hope this helps a little bit. It is a little hard to explain but let me know if you need some more help.

Answer:

the answers is 3

Step-by-step explanation:

12-3=9

3-6=3

9÷3=3

Answer:

12-x/x-6

12-3/3-6

6/-3

-2

Answer:

4

Step-by-step explanation:

Because It's a pattern that switches itself over and over.